/*!	 synfig/rendering/software/function/blur_iir_coefficients.hpp
**	 Initialization of IIR coefficients for Blur
**
**	......... ... 2016 Ivan Mahonin
**
**	This package is free software; you can redistribute it and/or
**	modify it under the terms of the GNU General Public License as
**	published by the Free Software Foundation; either version 2 of
**	the License, or (at your option) any later version.
**
**	This package is distributed in the hope that it will be useful,
**	but WITHOUT ANY WARRANTY; without even the implied warranty of
**	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
**	General Public License for more details.
**
*/

#ifdef USING_PCH
#	include "pch.h"
#else
#ifdef HAVE_CONFIG_H
#	include <config.h>
#endif

#ifndef _WIN32
#include <unistd.h>
#include <sys/types.h>
#include <signal.h>
#endif

#include "blur.h"

#include <synfig/general.h>

#endif

using namespace std;
using namespace synfig;
using namespace rendering;

const Real software::Blur::iir_min_radius = 1.0;
const Real software::Blur::iir_max_radius = 2048.0;
const Real software::Blur::iir_radius_step = 0.1;
const Real software::Blur::iir_coefficients_unprepared[][3] = {
    { 0.45313319191336631775, 0.37030425295233726501, 0.42185796722769736133 },
    { 0.47401428446173671238, 0.34647000357508656032, 0.44355906620621676772 },
    { 0.49175928458571438462, 0.32472521439194673709, 0.46248708739876753793 },
    { 0.50780449584126474694, 0.30499233528971664287, 0.47976472005248071984 },
    { 0.52282591685652746172, 0.28712423667311665065, 0.49594448432326321274 },
    { 0.5371419258415698339, 0.27095006629824636146, 0.51130555048584935829 },
    { 0.55089805200695984855, 0.2562968827784061765, 0.52599096372723586068 },
    { 0.56415559723973285333, 0.24299995824694631263, 0.54007412865757964404 },
    { 0.57693636640906331703, 0.23090762570500375506, 0.55359314009547233582 },
    { 0.58924567326903343201, 0.21988317146897318199, 0.56656913086771953925 },
    { 0.60108401104807851478, 0.20980508849024773199, 0.57901618406176569298 },
    { 0.61245266124606134728, 0.20056638643145560663, 0.5909465409815312098 },
    { 0.6233558855950832589, 0.19207338616251945496, 0.60237300321459763541 },
    { 0.63380151763558389977, 0.18424432501196863488, 0.61330992653965943351 },
    { 0.64380064532160763413, 0.17700792625546454828, 0.62377334907650949791 },
    { 0.6533669687807559523, 0.17030203267931937061, 0.63378072008490560219 },
    { 0.66251615509390826553, 0.16407238617539407488, 0.64335056766867626532 },
    { 0.67126512303948393523, 0.15827152058482168995, 0.65250201448798172965 },
    { 0.67963153496384620667, 0.15285782590508462109, 0.66125445738434796006 },
    { 0.68763331845402719811, 0.14779471680521966137, 0.6696272023022173947 },
    { 0.69528831914067257269, 0.14304993674159049988, 0.67763921990990649835 },
    { 0.70261409357190141023, 0.13859497234225273687, 0.68530900701880448356 },
    { 0.70962765440344810486, 0.13440452888607978821, 0.69265436604619012861 },
    { 0.71634543463587763146, 0.13045612499117850702, 0.69969243332743646935 },
    { 0.7227831311523913449, 0.12672969922423363287, 0.70643951073288913101 },
    { 0.72895569428801532119, 0.12320731356739997309, 0.71291109994053836196 },
    { 0.73487733229994778306, 0.11987288370728492459, 0.71912190690636634827 },
    { 0.74056145325303079918, 0.11671194210648536127, 0.72508579120039928778 },
    { 0.74602073803544055597, 0.11371146067976951877, 0.73081586882472038269 },
    { 0.75126713737845429719, 0.11085966154932976047, 0.73632448390126237214 },
    { 0.75631188377738001183, 0.10814587399363517761, 0.74162322953343395859 },
    { 0.76116553917527196571, 0.1055604226887226077, 0.74672302827239023237 },
    { 0.7658380351960658583, 0.10309450104832648676, 0.75163414105772974327 },
    { 0.77033871933817854583, 0.10074008628726005554, 0.7563662223517895189 },
    { 0.77467633411288272516, 0.098489847034215927124, 0.76092831566929808318 },
    { 0.7788591228425502111, 0.096337076276540756226, 0.76532893702387816415 },
    { 0.78289481326937682137, 0.094275631755590436067, 0.76957609429955475822 },
    { 0.78679066523909568787, 0.092299861460924143008, 0.77367728725075723961 },
    { 0.79055350348353392587, 0.090404578298330304231, 0.77763959392905246393 },
    { 0.79418975338339803383, 0.088584997504949566927, 0.78146966919302940369 },
    { 0.79770543947815897301, 0.086836699396371827553, 0.78517375066876415879 },
    { 0.80110625550150871277, 0.085155607014894482698, 0.78875774219632155404 },
    { 0.80439752712845802307, 0.083537941426038736514, 0.7922271750867367901 },
    { 0.80758430436253547668, 0.081980203837156290225, 0.79558728709816928237 },
    { 0.8106713421642780526, 0.080479145795106885042, 0.79884301349520681068 },
    { 0.81366307660937309265, 0.079031740874052042178, 0.80199896469712250724 },
    { 0.81656376495957372352, 0.07763518467545507673, 0.80505956187844263106 },
    { 0.8193773724138737613, 0.076286856085062026978, 0.80802893415093424156 },
    { 0.82210767939686779648, 0.074984312802553174104, 0.81091100201010712922 },
    { 0.82475821301341045722, 0.07372527197003364563, 0.81370944604277606338 },
    { 0.82733236625790596008, 0.072507605701684949007, 0.81642780229449274376 },
    { 0.82983331903815260588, 0.07132931277155875327, 0.81906936541199681923 },
    { 0.83226405307650563881, 0.070188520103693002872, 0.82163725420832633972 },
    { 0.83462746068835269586, 0.06908347979187964838, 0.82413448020815838202 },
    { 0.83692621961236013384, 0.068012540787458414249, 0.82656384035944929778 },
    { 0.83916292861104013756, 0.066974156349897381868, 0.82892803028225903184 },
    { 0.84133998677134524957, 0.065966869145631781834, 0.83122956827282901138 },
    { 0.84345972612500186294, 0.064989308267831807919, 0.83347088024020188346 },
    { 0.8455243416130542311, 0.064040184766054136789, 0.83565426543354992539 },
    { 0.84753592982888215079, 0.063118279725313169992, 0.83778190687298770278 },
    { 0.84949645474553103774, 0.062222439795732498169, 0.8398558579385280165 },
    { 0.85140782669186598763, 0.061351583153009418836, 0.84187811836600312532 },
    { 0.85327183231711389855, 0.060504678636789321899, 0.84385055080056181609 },
    { 0.85509019270539277091, 0.059680754691362386533, 0.84577495083212850258 },
    { 0.85686454400420197786, 0.058878896385431291061, 0.84765304252505302429 },
    { 0.85859644487500186294, 0.058098232001066209274, 0.84948645606636996597 },
    { 0.86028736308217046425, 0.057337924093008037218, 0.85127670839428903893 },
    { 0.86193875446915624305, 0.056597205251455305619, 0.85302535071969032288 },
    { 0.86355193629860871329, 0.055875318497419355912, 0.8547337450087070243 },
    { 0.86512820646166810334, 0.055171557515859601106, 0.85640325620770452186 },
    { 0.86666885241866109535, 0.054485257714986801147, 0.858035228401422434 },
    { 0.86817500069737429946, 0.053815772384405137496, 0.85963084772229203523 },
    { 0.86964779719710361139, 0.053162493556737903944, 0.86119131669402115836 },
    { 0.87108833715319633484, 0.052524841576814654265, 0.86271777674555782944 },
    { 0.87249765917658805847, 0.051902268081903457642, 0.86421132907271380752 },
    { 0.87387675717473034531, 0.051294241100549697876, 0.86567300185561169013 },
    { 0.875226565450429983, 0.050700256973505018754, 0.86710378453135483756 },
    { 0.87654802277684218392, 0.050119840353727344862, 0.86850466206669807434 },
    { 0.87784199491143233285, 0.049552529305219646105, 0.86987653747200965881 },
    { 0.87910932525992391273, 0.048997888714075087113, 0.87122030183672904968 },
    { 0.88035080805420884431, 0.048455495387315750122, 0.87253678664565081924 },
    { 0.88156723901629452378, 0.047924951463937763563, 0.87382682338356953977 },
    { 0.882759379595518201, 0.047405878454446791215, 0.87509121969342218428 },
    { 0.88392789140343663856, 0.046897902339696886931, 0.87633067443966849996 },
    { 0.88507350459694866807, 0.046400674432516102186, 0.87754594460129742295 },
    { 0.88619686141610154451, 0.045913856476545333862, 0.87873771116137500137 },
    { 0.88729862496256828308, 0.045437128096818928114, 0.87990666553378094061 },
    { 0.88837937936186783805, 0.044970176368951800261, 0.88105342611670489639 },
    { 0.88943972662091252968, 0.044512707740068435669, 0.88217863067984580994 },
    { 0.89048023894429206848, 0.044064434617757802792, 0.88328287675976746574 },
    { 0.89150146320462231309, 0.043625081330537794633, 0.88436673060059545204 },
    { 0.89250392243266107872, 0.043194387108087539673, 0.88543075546622262983 },
    { 0.89348814114928232222, 0.042772101610898977109, 0.88647550269961361558 },
    { 0.8944545753300190416, 0.042357974499464039198, 0.88750144913792605728 },
    { 0.89540374353528018325, 0.041951779276132583618, 0.88850913867354397446 },
    { 0.89633607491850841864, 0.041553286463022233443, 0.88949902579188344642 },
    { 0.89725201204419136047, 0.041162277013063429398, 0.89047156795859327971 },
    { 0.89815198704600340829, 0.040778548270463947645, 0.89142723754048336371 },
    { 0.89903641417622570664, 0.040401897579431536589, 0.89236646071076397568 },
    { 0.89990568533539772034, 0.040032128244638441605, 0.89328964725136761338 },
    { 0.90076017752289772034, 0.039669054001569746537, 0.89419719949364651068 },
    { 0.90160027369856832191, 0.039312497526407239046, 0.89508952274918551772 },
    { 0.90242634192109105751, 0.038962284475564955277, 0.8959669940173625724 },
    { 0.90323869958519942269, 0.038618244975805279817, 0.89682996198534969956 },
    { 0.90403771921992304161, 0.038280222564935684204, 0.8976788140833377172 },
    { 0.9048236943781375885, 0.037948054820299149947, 0.89851385578513143226 },
    { 0.90559695437550546959, 0.037621594220399852404, 0.89933543875813481971 },
    { 0.90635781362652778625, 0.037300697714090343127, 0.90014389380812631636 },
    { 0.90710654035210613877, 0.036985217779874804411, 0.9009395025670529078 },
    { 0.90784344151616103158, 0.036675024777650826191, 0.90172259286046030358 },
    { 0.90856879726052275359, 0.036369984596967698531, 0.90249345228075972258 },
    { 0.9092828579246996501, 0.036069969087839125199, 0.90325235202908504828 },
    { 0.90998590216040597944, 0.03577485904097557623, 0.90399958714842787444 },
    { 0.91067815646529193252, 0.035484527796506883102, 0.90473538711667056411 },
    { 0.91135989353060731233, 0.035198869556188588925, 0.90546005293726916641 },
    { 0.91203134283423414885, 0.034917766600847242875, 0.90617381706833843857 },
    { 0.912692720443010308, 0.034641110152006153455, 0.90687690600752823844 },
    { 0.91334428861737249061, 0.034368804842233653674, 0.90756961032748206808 },
    { 0.91398620679974551528, 0.034100735932588575883, 0.90825208500027654335 },
    { 0.91461873278021810219, 0.033836814016103743119, 0.90892460420727716475 },
    { 0.91524205878376951873, 0.033576942235231395373, 0.90958737656474109023 },
    { 0.91585636064410202994, 0.033321025222539900346, 0.91024058535695073768 },
    { 0.91646185591816908822, 0.033068976551294322619, 0.91088446155190461173 },
    { 0.91705872938036914199, 0.032820706814527512984, 0.9115191914141177465 },
    { 0.91764717325568201378, 0.032576137036085132948, 0.91214499101042734175 },
    { 0.91822732761502268151, 0.03233517631888389865, 0.91276199892163267791 },
    { 0.91879941150546073914, 0.03209775462746620317, 0.91337045207619671494 },
    { 0.91936355307698247596, 0.031863787025213238802, 0.91397048309445372283 },
    { 0.91991994306445123986, 0.031633204966783526335, 0.91456229463219640419 },
    { 0.92046872451901440293, 0.031405930966138841109, 0.91514603868126875863 },
    { 0.92101005539298064217, 0.031181897968053817749, 0.91572188362479201018 },
    { 0.92154408916831009879, 0.030961035937070849333, 0.91628999188542359366 },
    { 0.92207097634673118591, 0.030743276327848435836, 0.91685051098465908392 },
    { 0.92259085252881045669, 0.030528556555509567261, 0.91740359887480737999 },
    { 0.92310384437441828087, 0.030316809564828871293, 0.9179493807256220439 },
    { 0.92361009791493420273, 0.030107978731393814087, 0.91848802044987665205 },
    { 0.92410977110266678825, 0.029902005940675734086, 0.9190196759998796594 },
    { 0.92460295185446750299, 0.029698825627565386687, 0.91954443827271459266 },
    { 0.92508977428078653649, 0.029498387128114700317, 0.92006246373057365417 },
    { 0.92557036206126219735, 0.029300632327795027299, 0.92057387158274650574 },
    { 0.92604484632611261397, 0.029105510562658309937, 0.92107880190014834731 },
    { 0.92651333436369887053, 0.028912965208292007446, 0.92157736197113981902 },
    { 0.92697593197226535455, 0.028722951561212538285, 0.92206967845559117958 },
    { 0.92743277028203008339, 0.028535417467355723986, 0.92255587950348849624 },
    { 0.92788393720984452262, 0.028350313752889634566, 0.92303606197237964004 },
    { 0.92832952067255969375, 0.028167591243982319227, 0.92351031973958008781 },
    { 0.92876966670155525208, 0.027987211197614665636, 0.92397880777716634437 },
    { 0.92920444235205645889, 0.027809122949838636918, 0.92444159016013138785 },
    { 0.92963396534323694542, 0.027633286267518999968, 0.92489879652857776016 },
    { 0.93005830720067028672, 0.027459656447172166305, 0.92535050734877588585 },
    { 0.93047756686806692983, 0.027288191825151440068, 0.92579681816697090291 },
    { 0.93089185367524629466, 0.027118854627013199571, 0.92623784513771501015 },
    { 0.93130123928189278981, 0.026951606214046471, 0.92667367437481817927 },
    { 0.93170580443739892118, 0.026786404371261580276, 0.92710438594221988851 },
    { 0.93210565192997452133, 0.026623217031359652091, 0.92753008864819930235 },
    { 0.9325008586943148714, 0.026462001860141727561, 0.92795085683464906268 },
    { 0.93289148359000662047, 0.026302727088332145122, 0.92836676616966617992 },
    { 0.9332776338756081369, 0.026145356655120813305, 0.92877791941165821488 },
    { 0.93365937684476341119, 0.025989855870604469668, 0.92918438751995457991 },
    { 0.93403677541017482433, 0.025836195796728089052, 0.9295862544774994296 },
    { 0.93440991212427571, 0.025684336259961079024, 0.92998358203470532501 },
    { 0.93477886411547606027, 0.025534254252910559835, 0.93037647292017744416 },
    { 0.93514369656145512888, 0.025385912910103742429, 0.93076498414575836726 },
    { 0.93550447058677610457, 0.025239283859729708809, 0.93114918339252239488 },
    { 0.93586126939952296588, 0.025094338193535747211, 0.93152915869652985759 },
    { 0.93621415048837586248, 0.024951048165559708281, 0.93190497183799503311 },
    { 0.93656317128240984538, 0.024809382870793279113, 0.93227668677270147946 },
    { 0.93690839555859495302, 0.024669314771890570037, 0.93264436337351519501 },
    { 0.93724989958107407517, 0.024530821874737665511, 0.93300809316336819066 },
    { 0.93758772745728413689, 0.024393872052431028741, 0.93336791217326819936 },
    { 0.9379219397753468801, 0.024258442476391715859, 0.93372389392554466792 },
    { 0.93825259813666239683, 0.024124506801366726871, 0.93407609623670273535 },
    { 0.93857976008951549129, 0.023992041364312093055, 0.93442458026110808422 },
    { 0.93890348739921947185, 0.02386102361977092412, 0.93476941882073549817 },
    { 0.93922381174564262274, 0.023731426626443778705, 0.93511064159869838885 },
    { 0.93954080380499260805, 0.023603227928280744868, 0.93544831781088955136 },
    { 0.93985452210903042136, 0.023476409763097675493, 0.93578252029418595992 },
    { 0.94016498516499857896, 0.023350941255688574538, 0.93611325763165598168 },
    { 0.94047227978706215978, 0.023226809650659461376, 0.93644063147902145694 },
    { 0.94077643205225325307, 0.023103988632559677163, 0.93676466266810543004 },
    { 0.94107750508189091931, 0.022982459336519135695, 0.93708541926741240058 },
    { 0.94137552490830322949, 0.022862200945615661352, 0.93740293291210752269 },
    { 0.94167056521773251365, 0.02274319544434536336, 0.93771727940439808524 },
    { 0.94196265162527470505, 0.022625419870018845941, 0.93802847968041513926 },
    { 0.9422518261373032944, 0.022508858323097114679, 0.93833659052848394921 },
    { 0.94253814171254524101, 0.022393490418791659607, 0.93864165915548369856 },
    { 0.94282162427902116431, 0.022279298365116009806, 0.93894371885060812222 },
    { 0.94310233122110276316, 0.022166265130042918374, 0.93924282944201953338 },
    { 0.94338031242787756536, 0.022054371401667480224, 0.93953903077542300082 },
    { 0.94365558344125655132, 0.021943600863218195446, 0.93983235603570458583 },
    { 0.9439282021671523415, 0.021833940550684823728, 0.94012286616861351352 },
    { 0.94419818758964435546, 0.021725367367267500035, 0.94041057628392699108 },
    { 0.94446559225022685968, 0.021617866501212008867, 0.94069553227722157995 },
    { 0.94473045897483698408, 0.021511427789926412107, 0.94097779875993214915 },
    { 0.94499280615150793583, 0.021406029239296797684, 0.94125738199054664879 },
    { 0.94525267538428170422, 0.021301657229661822429, 0.94153432714938578574 },
    { 0.94551010482013087, 0.021198298647999640892, 0.94180868287383967541 },
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